Develop a C++ program that fulfills the following requirements:

• Generate the first 100 values in our sequence following the sequencing rules
• Store all of the first 100 values of our sequence in an integer array
• Using your array/vector, output each of the 100 values to the screen, with tabs separating each value
• Using your array/vector, output each of the 100 values to a text file, with spaces separating each value

Let's develop a program that will produce and output the first 100 values in my newest sequence.

C(0) = 1

C(1) = 3

C(n) = IF n IS DIVISIBLE BY 3

THEN C(n) = C(n-1) + C(n-2)

ELSE IF n IS DIVISIBLE BY 2

THEN C(n) = C(n-1) / 2

ELSE

C(n) = n

NOTE: Think of the modulus operator for divisibility checks NOTE: Make sure to always use integer division where needed

Here are the first few values of the sequence: 1 3 1 4 2 5